Mixed Number worksheet

1. Mixed number: 3 3/5

1. Divide 18 by 5. How many times it fits is the whole part, and what's left over is the new top number

   $18$$=3\times 5+3$

2. Write the whole part followed by the remainder over the denominator

   $\frac{18}{5}$$=\text{3 3/5}$

2. Mixed number: 3 3/4

1. Divide 15 by 4. How many times it fits is the whole part, and what's left over is the new top number

   $15$$=3\times 4+3$

2. Write the whole part followed by the remainder over the denominator

   $\frac{15}{4}$$=\text{3 3/4}$

3. Improper fraction: 11/4

1. Multiply the whole number by the bottom number (denominator). This counts the wholes as pieces of the same size

   $2\times 4$$=8$

2. Add the top number (numerator) to get the new top number. The bottom number stays the same

   $\frac{2\times 4+3}{4}$$=\frac{11}{4}$

3. The mixed number as an improper fraction

   $\text{2 3/4}$$=\frac{11}{4}$

4. Improper fraction: 4

1. Multiply the whole number by the bottom number (denominator). This counts the wholes as pieces of the same size

   $3\times 3$$=9$

2. Add the top number (numerator) to get the new top number. The bottom number stays the same

   $\frac{3\times 3+3}{3}$$=\frac{12}{3}$

3. Simplify by dividing the top and bottom by 3, the biggest number that divides both

   $\frac{12}{3}$$=4$

4. The mixed number as an improper fraction

   $\text{3 3/3}$$=4$

5. Mixed number: 1 5/6

1. Divide 11 by 6. How many times it fits is the whole part, and what's left over is the new top number

   $11$$=1\times 6+5$

2. Write the whole part followed by the remainder over the denominator

   $\frac{11}{6}$$=\text{1 5/6}$

6. Improper fraction: 13/3

1. Multiply the whole number by the bottom number (denominator). This counts the wholes as pieces of the same size

   $3\times 3$$=9$

2. Add the top number (numerator) to get the new top number. The bottom number stays the same

   $\frac{3\times 3+4}{3}$$=\frac{13}{3}$

3. The mixed number as an improper fraction

   $\text{3 4/3}$$=\frac{13}{3}$

7. Mixed number: 3 1/2

1. Simplify first by dividing the top and bottom by 3, the biggest number that divides both

   $\frac{21}{6}$$=\frac{7}{2}$

2. Divide 7 by 2. How many times it fits is the whole part, and what's left over is the new top number

   $7$$=3\times 2+1$

3. Write the whole part followed by the remainder over the denominator

   $\frac{7}{2}$$=\text{3 1/2}$

8. Improper fraction: 13/5

1. Multiply the whole number by the bottom number (denominator). This counts the wholes as pieces of the same size

   $2\times 5$$=10$

2. Add the top number (numerator) to get the new top number. The bottom number stays the same

   $\frac{2\times 5+3}{5}$$=\frac{13}{5}$

3. The mixed number as an improper fraction

   $\text{2 3/5}$$=\frac{13}{5}$

9. Improper fraction: 8/3

1. Multiply the whole number by the bottom number (denominator). This counts the wholes as pieces of the same size

   $2\times 3$$=6$

2. Add the top number (numerator) to get the new top number. The bottom number stays the same

   $\frac{2\times 3+2}{3}$$=\frac{8}{3}$

3. The mixed number as an improper fraction

   $\text{2 2/3}$$=\frac{8}{3}$

10. Improper fraction: 4

1. Multiply the whole number by the bottom number (denominator). This counts the wholes as pieces of the same size

   $2\times 2$$=4$

2. Add the top number (numerator) to get the new top number. The bottom number stays the same

   $\frac{2\times 2+4}{2}$$=\frac{8}{2}$

3. Simplify by dividing the top and bottom by 2, the biggest number that divides both

   $\frac{8}{2}$$=4$

4. The mixed number as an improper fraction

   $\text{2 4/2}$$=4$